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milanproda
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- Joined: Sat Sep 25, 2010 10:07 am
- Location: Belgrade, Serbia/ New York, USA
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Three consecutive numbers are drawn from integers, which are strictly greater than 9 and strictly less than 20. Suppose w is the product of the numbers drawn, which of the following must be true?
I-w is an integer multiple of 3
II- W is an integer multiple of 4
III-w is an integer multiple of 6
Answers:
A-I ONLY
B- II ONLY
C- I & III ONLY (ANSWER)
D-II & III ONLY
E- I, II, & III
I tried picking this question apart without doing any math. I saw that the w must be even (because one of the three consecutive numbers was even), but I could not discern anything past that.
Eventually I plugged in numbers, starting from 10x11x12, 11x12x13...The product of the first three sets of numbers were al divisible by 3, 4, and 6. Only later sets were not divsible by 4. I was able to get the answer but after taking about 4 minutes to figure it out. Is there a simpler way to answer questions like this and figure out the variable?
I-w is an integer multiple of 3
II- W is an integer multiple of 4
III-w is an integer multiple of 6
Answers:
A-I ONLY
B- II ONLY
C- I & III ONLY (ANSWER)
D-II & III ONLY
E- I, II, & III
I tried picking this question apart without doing any math. I saw that the w must be even (because one of the three consecutive numbers was even), but I could not discern anything past that.
Eventually I plugged in numbers, starting from 10x11x12, 11x12x13...The product of the first three sets of numbers were al divisible by 3, 4, and 6. Only later sets were not divsible by 4. I was able to get the answer but after taking about 4 minutes to figure it out. Is there a simpler way to answer questions like this and figure out the variable?
Milan Prodanovic
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